Batteries are sold in boxes and packets

Each packet contains 8 batteries
Each box contains 25 batteries

Jonathon buys p packets of batteries and b boxes of batteries
write down an expression of the terms p and b for the total number of batteries bought

Answers

Answer 1

Answer:

8p + 25b

Step-by-step explanation:

The expression of the word problem above can be written thus:

[tex]8p + 25b[/tex]


Related Questions

if the polygon shown below is a regular nonagon,what is the value of x

Answers

Answer:

[tex]x=40^o[/tex]

Step-by-step explanation:

the picture of the question in the attached figure

step 1

Find the measure of the interior angle of a regular nonagon

The formula to calculate the measure of the interior angle in any polygon is given by

[tex]\frac{(n-2)180^o}{n}[/tex]

where

n is the number of sides

In this problem we have

n=9 sides

substitute

[tex]\frac{(9-2)180^o}{9}=140^o[/tex]

step 2

Find the value of x

Remember that

The sum of the interior angle and the exterior angle in any vertex of the polygon must be equal to 180 degrees

so

[tex]x+140^o=180^o[/tex]

solve for x

[tex]x=180^o-140^o=40^o[/tex]

in a certain clothing store,6 shirts and 3 ties cost $79.50 ,and 3 shirts and 2 ties cost $41. determine the cost of each shirt.

Answers

Answer:

Each shirt cost $12

Step-by-step explanation:

First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.

6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41

Hence we have two equations, and we solve them simultaneously.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the

2(6s+3t=79.5)

12s+6t=159 Equation 3

3(3s+2t=41)

9s+6t=123 Equation 4

We subtract equation 4 from equation 3.

12s+6t=159

9s+6t=123

12s-9s=3s

6t-6t=0

159-123=36

We therefore have

3s=36

Divide both sides by 3

s=36/3

s=12

One shirt cost $12

what has to be added to the sum of 5/8 and 8/5 to get 3​

Answers

Answer:

31/40 has to be added to the sum of 5/8 and 8/5 to get 3​.

Step-by-step explanation:

Solve this equation:  5/8 + 8/5 + f = 3, where f is the number that has to be added to the sum of 5/8 and 8/5.

The LCD of 5/8 and 8/5 is 40; thus, 5/8 + 8/5 = 25/40 + 64/40 = 89/40.

Then 89/40 + f = 120/40 (where 120/40 is equivalent to 3).

Subtracting 89/40 from both sides yields the desired result:

f = (120 - 89)/40 = 31/40

31/40 has to be added to the sum of 5/8 and 8/5 to get 3​.

Answer:

[tex]\frac{31}{40}[/tex]

Step-by-step explanation:

let the unknown be x

[tex]\frac{5}{8} + \frac{8}{5} + x =3[/tex]

[tex]\frac{25+64+40x}{40} = 3[/tex]

cross multiply

25 + 64 + 40x = 3 × 40

89 + 40x = 120

collect like terms

40x = 120 - 89

40x = 31

divide both sides by 40

x = [tex]\frac{31}{40}[/tex]

therefore, [tex]\frac{31}{40}[/tex] has to be added to the sum of 5/8 and 8/5 to get 3

Use the relationships between the angles to solve for x (most brainliest fastest answer)

Answers

Answer:

100 degrees

Step-by-step explanation:

A straight line pretty much means you have 180 degrees.

180 - 115 = 65

A triangle has 180 degrees

x = 180 - 15 - 65 = 100

- Which mathematical expression represents "add 6, 9, and 24 and then divide by 3"?
A. (6 + 9 + 24) = 3
B. 6 + 9 + 24-3
C.3 = (6 + 9 + 24)
D. 3 = 6 + 9 + 24​

Answers

Answer:

(6 + 9 + 24)/3

Step-by-step explanation:

First, you must add 6, 9, and 24.

6 + 9 + 24

Now you need to divide that sum by 3.

You must use parentheses to show the sum being divided by 3.

(6 + 9 + 24)/3

None of your expressions contain a division sign, so there is no answer contained in the choices. Did you use the equal sign to mean a division sign?

(6+9+24)/3 this is the answer to your question

Convert the length as indicated What is 2600 cm= ft

Answers

Answer:

85.30184

Step-by-step explanation:

1ft........30.48cm

x .........2600cm

x=2600×1/30.48=85.30ft

Answer: 85.30ft



A square and a regular hexagon have side of the same length. The perimeter of the square increased by 48 units will be equal to the perimeter of the hexagon. What is the x, the length of the side of the hexagon or square

Answers

The length of the side of the hexagon or square is 24 units.

Step-by-step explanation:

It is given that, a square and a regular hexagon have side of the same length.

The length is not given in the problem. So, let us assume the length of the side of hexagon or square as 'x'.

The additional information given is that, the perimeter of the square increased by 48 units will be equal to the perimeter of the hexagon.

The perimeter of the square = 4 × length of the side.Then, the perimeter of the square increased by 48 units = (4x + 48).The perimeter of the hexagon = 6 × length of the side.Therefore, the perimeter of the hexagon = 6x.

To calculate the length x of square and hexagon :

Comparing both the perimeters of square and hexagon,

(4x + 48) = 6x

⇒ 48 = 6x-4x

⇒ 2x = 48

⇒ x = 48/2

x = 24 units.

The length of the side of the hexagon or square is 24 units.

I WILL GIVE BRAINLIEST, 5 STARS, AND THANKS!

Find the volume of the prism.

A. 250 yd3

B. 50 yd3

C. 20 yd3

D. 200 yd3

Answers

Answer:

D

Step-by-step explanation:

To find Volume, you multiply length, width and height.

10x4=40

40x5=200

Answer:

D)200yd^3

Step-by-step explanation:

all you have to do is times 4*5*10=200 to get the volume

Yeah I’m not good at this

Answers

For the given triangle, x = 5.1 cm and y = 6.1 cm.

Step-by-step explanation:  

Step 1:  

In the given triangle, the angle is 50°. It is given that the opposite side has a length of y cm and the adjacent side has a length of y cm.   The hypotenuse of the triangle measures 8 cm.

To determine the length of the opposite side of the triangle, we use the sin of the given angle.  

To determine the length of the adjacent side of the triangle, we use the cos of the given angle.  

[tex]sin \theta = \frac{oppositeside}{hypotenuse} , cos \theta = \frac{adjacentside}{hypotenuse}.[/tex]

Step 2:  

In the given triangle,  

The length of the opposite side = y cm,  

The length of the adjacent side = x cm,  

The length of the hypotenuse = 8 cm,  

The angle of the triangle = 50°.

[tex]sin \theta = \frac{oppositeside}{hypotenuse} , sin 50 = \frac{y}{8}.[/tex]

[tex]y = 0.7660 (8) = 6.128.[/tex]

[tex]cos \theta = \frac{adjacentside}{hypotenuse} , cos 50 = \frac{x}{8}.[/tex]

[tex]x = 0.6427 (8) = 5.1416.[/tex]

So x = 5.1416 cm and y = 6.128 cm. Rounding these off to one decimal place, we get x = 5.1 cm and y = 6.1 cm.

Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Calculate the average time of the 20 athletes who did not qualify for the final.

Answers

The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

Step-by-step explanation:

Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:

[tex]\frac{x_1+x_2+.....+x_2_8}{28} = 11[/tex] where [tex]x_1, x_2, ....., x_2_8[/tex] are athletes

⇒ [tex]x_1 + x_2 + .. + x_2_8 = 11(28)= 308[/tex]

⇒ [tex](x_1 + x_2 + .. + x_8 )+ (x_9+x_1_0+...+x_2_8) = 308[/tex]

⇒ [tex](\frac{x_1 + x_2 + .. + x_8}{8} )(8)+ (\frac{x_9+x_1_0+...+x_2_8}{20} )(20) = 308[/tex]

⇒ [tex]10.5(8)+m(20) = 308[/tex] , where m is average time of the 20 athletes who did not qualify for the final.

⇒ [tex]84+m(20) = 308[/tex]

⇒ [tex]20m= 224[/tex]

⇒ [tex]m=11.2[/tex]

The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

Select the correct answer.


If ΔABC and ΔGEF are congruent by the ASA criterion, which pair of angles must be congruent?

A.
∠ACB and ∠FEG

B.
∠CAB and ∠GEF

C.
∠CAB and ∠EGF

D.
∠ABC and ∠GFE

Answers

Answer:

<A=<G

so <CAB=<EGF

Step-by-step explanation:

Answer:

B.  

∠CAB and ∠GEF

Triangle ABC was dilated and translated to form similar triangle A’B’C’.

What is the scale factor of the dilation?

A. 1/5
B. 2/5
C. 5/2
D. 5/1

Answers

The scale factor for the transformation of the pre-image ABC to A'B'C' shown in the figure is 5/2

How to estimate the scale factor of the dilation

From the question, we have the following parameters that can be used in our computation:

The transformation of the pre-image ABC to A'B'C'

By definition, the scale factor is simply the ratio of sides of two corresponding figures

So, the scale factor (S) would be:

S = A'B'C'/ABC

The actual measurements are given as

ABC = 2

A'B'C' = 5

Substitute the known values into the equation

S = 5/2

Hence, the estimated scale factor is 5/2

find a common factor for 3y^3+2y^2 and 6y^4+4y^3​

Answers

Answer:

[tex]3y + 2 [/tex]

Step-by-step explanation:

We want to find a common factor for

[tex]3 {y}^{3} + 2 {y}^{2} [/tex]

and

[tex]6 {y}^{4} + 4 {y}^{3} [/tex]

We factor each of them to get;

[tex]3 {y}^{3} + 2 {y}^{2} = {y}^{2} (3y + 2)[/tex]

and

[tex]6 {y}^{4} + 4 {y}^{3} = 2 {y}^{3} (3y + 2)[/tex]

We can observe now that;

The factor common to both expression is

[tex]3y + 2[/tex]

Write -5.8 as a mixed number in simplest form

Answers

Answer:

[tex]-5 \frac{4}{5}[/tex]

Step-by-step explanation:

That's the answer

Answer:

I guess the answer would be -5 and 4/5.

Hope this helps!

4x+4y+z=24
2x-4y+z=0
5x-4y-5z=12

Answers

Answer:

what are you looking for

Step-by-step explanation:

Four consecutive integers add up to 378

Answers

Answer:

The numbers are 93, 94, 95 and 96

Step-by-step explanation:

Four consecutive integers add up to 378.

Let the first number be x

Second number will be x+1

Third number will be x+2

And the fourth number will be x+3

These four numbers add up to 378

Which means, we add them up

x + (x+1) + (x+2) + (x+3)=378

x+x+1+x+2+x+3= 378

Collect like terms

4x+6=378

4x= 378-6

4x=372

Divide both sides by 4

x=378/4

x=93

The first number is 93

The second number is x+1 = 93+1= 94

The third number is x+2= 93+2= 95

The fourth number is x+3= 93+3=96

Add up the four numbers

93+94+95+96 = 378

The car owned by a person is part of his or her
a investment assets
b. liquid assets
C. long term assets
d. use assets
Please select the best answer from the choices provided

Answers

Answer: answer is B, long term asset

Step-by-step explanation:

This is because cars are depreciated over time. It is therefore reported under the long term asset in a balance sheet.

6. Two-thirds of a number is equal to 20. What is
the number?

Answers

Answer: 30

Explanation: 1/2 of 20 is 10 which means 10 is 1/3 of the number. So to get the number you multiply 10 by 3, which equals 30.
The answer is thirty (30)

James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.

Answers

Answer:

James is 58 and Tyson is 39 years old.

Step-by-step explanation:

x + y = 97

x - y = 19    +

--------------

2x = 116

x = 58

--------------

y = 97 - 58

y = 39

Final answer:

To find the ages of two friends based on the sum and difference of their ages.

Explanation:

James and Tyson are two friends whose ages sum up to 97 and have a difference of 19. To find their ages, we can set up a system of equations:

Let's denote James' age as x and Tyson's age as y.We have the equations: x + y = 97 and x - y = 19.Solving these equations simultaneously gives x = 58 and y = 39.

Therefore, James is 58 years old, and Tyson is 39 years old.

Maria has an annual income of
$32,000. If she saves 8% of her
income, how much money does
she save?

Answers

Answer:

17,810.58

Step-by-step explanation:

A = $ 17,810.58

A = P + I where

P (principal) = $ 10,000.00

I (interest) = $ 7,810.58

Step-by-step explanation:

we can write it in %form:

100% of the total income Annual income= $32,000 (given in question)

1%=$320. (divide both sides by 100 to solve by 1%)

8%=$320×8

(multiply by 8 both side to get money saved)

8%= *$2,560*

HELPPP PLEASE

A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Question 2 options: 226 ft3 679 ft3 905 ft3 2714 ft3

Answers

The volume of the tent is option A) 226 ft³

Step-by-step explanation:

The given data are,

A cone-shaped tent has a diameter of 12 ft.The height of the cone is 6 ft.

To find the volume of the tent :

The volume of the tent can be found using the formula for volume of the cone, since the tent is in the shape of a cone.

Volume of the cone = (1/3)πr²h

where, r is the radius of the cone. The diameter is given as 12 ft. Therefore, to find the radius = diameter /2 = 12/2 = 6 ft.

The radius, r = 6 ft.

The height h of the cone is h= 6 ft.

Volume of the cone = (1/3)× 3.14× 6²× 6.

⇒ (1/3)× 3.14× 216

⇒ 678.24 / 3

⇒ 226.08 (which is approximately 226)

⇒ 226 cubic. ft

Therefore, the volume of the tent is option A) 226 ft³

Jerome found another feather that made the difference between the longest and shortest feather 1 3/4 inches what could be the length of the new father explain

Answers

Answer:

By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.

Step-by-step explanation:

A mathematical translation of the statement of the problem is:

[tex]x - y = \frac{7}{4}[/tex]

Where x, y represent the lengths of the longest and shortest feathers, respectively. Let assume that length of the shortest feather is 1/4 inches. Then, the length of the longest feather is:

[tex]x = y + \frac{7}{4}[/tex]

[tex]x = 2[/tex]

By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.

Final answer:

The length of the new feather that made the difference between the longest and shortest feathers is 1 3/4 inches.

Explanation:

The question is asking for the possible length of the new feather that made the difference between the longest and shortest feathers. We know that the difference between these feathers is 1 3/4 inches.

To find the length of the new feather, we need to consider the lengths of the longest and shortest feathers.

Let's say the length of the shortest feather is x inches. Then, the length of the longest feather would be x + 1 3/4 inches. So, the equation would be: (x + 1 3/4) - x = 1 3/4 inches.

Simplifying the equation, we get: 1 3/4 = 1 3/4 inches.

Therefore, the length of the new feather is 1 3/4 inches.

Quiz

Active

TIME REMAINING

55:18

Eli is buying a townhouse that costs $276,650. He has $28,000 in savings and earns $4,475 a month. Eli would like to spend no

more than 30% of his income on his mortgage payment. Which loan option would you recommend to Eli?

a 30 year FHA, 3.5% down at a fixed rate of 6.5%

b. 30 year fixed, 5% down at a fixed rate of 6.25%

c. 30 year fixed, 6.5% down at a fixed rate of 5.75%

d. 30 year fixed, 10% down at a fixed rate of 5%

Please select the best answer from the choices provided



в

Mark this and return

Save and Exit

Next

Submit

Answers

Answer: D. 30 year fixed, 10% down at a fixed rate of 5%

Step-by-step explanation:

The total cost of the house is $276,650.

He has in his savings $28,000

10% of $276,650 = $27,665. This will cover for the down payment.

His monthly income is $4,475 and he will like to spend 30% of it on his mortgage = $4,475* 30%= $1,342.50.

From the bal of mortgage =

$276,650 - $27,665 = $248,985

$248,985/ (30*12) = $691.625 $248,985* 5% /12= $1037.45

Total monthly repayment = $1037.45+ 691.63= $1729.08

Answer:

b. 30 year fixed, 5% down at a fixed rate of 6.25%

Step-by-step explanation:

6⁴×6⁴ as a single power

Answers

Answer:

6^16

Step-by-step explanation:

4 x 4 = 16

Answer:

Step-by-step explanation:

if bases are equal then powers are added during multiplication.

x^a×x^b×x^c=x^{a+b+c}

here [tex]6^4 \times 6^4=6^{4+4}=6^8[/tex]

x - 8 + (-8x) - 15 when x = -9

Answers

Answer:

40

Step-by-step explanation:

Plug x=-9 in. -9-8+(-9×(-8)) -15=-17+72-15=-17+72-15=40. I hope this helped!

Answer:

40

Step-by-step explanation:

72-32=40

I need help figuring this out I’m so confused

Answers

Answer:

just do the steps accordingly

Step-by-step explanation:

asdv

Hey there! Welcome to Brainly!

When solving equations for a variable, our goal is to get the variable all by itself on one side of the equation to show what it equals.

In your case, there are two variables, but there is no need to worry! Just pretend like C is another number; you are still solving for x.

So, how do we isolate the x? What we need to do is use inverse operations. If you were to say that x+1=20, how would you figure out what x is? Well, you have to get rid of the one next to the x. We need to subtract this one. But, if we subtract the one, we have to do it to the other side of the equation as well so that it balances it out. This leaves us with x=19.

Now, let's figure out your problem. You have a few more steps. When solving bigger equations, you first undo the constants (terms without a variable) and then the coefficients (numbers with variables attached).

So, the first thing we need to do is add 20 to both sides to cancel out the subtracting on x's side.

C+20=25x-20+20

C+20=25x

Now, we need to divide both sides by 25 to completely isolate the x.

(C+20)÷25=x

In algebra, it is customary to put the x on the left side of the equation, so we will just flip it around.

x=(C+20)÷25

We can further simplify this because the 20 in the numerator and 25 in the denominator are not in simplest form.

[tex]\frac{C+20}{25} =\frac{C+4}{5}[/tex]

Given this information, you should be able to put the steps in order accordingly.

I hope this helps! Have a great day!

a store sells 14 2/3 lb of carrots one day. The next day the store sells to 2 1/3 pounds of carrots how many pounds of carrots did the store sell?​

Answers

Answer:   17lbs of carrots

Step-by-step explanation:

Solve and check y-12=4y

Answers

Answer:

-8

Step-by-step explanation:

The answer is -8 because y=4 so 4-12=-8

Employees of a discount appliance store receive an additional 20% off of the lowest price on an item.
an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher
originally cost $450?
A. $280.90
B. $287
C. $292.50
D. $306
E. $333.89

Answers

Answer:

D. $306.

Step-by-step explanation:

If the dishwasher originally cost $450, then after applying 15% off, its price will be 100% - 15% = 85% of the original price:

[tex]\dfrac{85\%}{100\%} *\$450[/tex]

[tex]0.85*\$450 = \$382.5[/tex]

Thus, during the 15% off sale, the dishwasher will cost $382.5.

Now, the employees of the discount appliance store receive an additional 20% off; therefore, the price of the dishwasher will be 100% - 20% = 80% of $382.5:

[tex]\dfrac{80\%}{100\%} *\$382.5[/tex]

[tex]0.8*\$382.5=\$306[/tex]

Therefore, the employee will purchase the dishwasher at a price of $306, which is choice D.

Final answer:

The employee will pay $306 for the dishwasher, which corresponds to answer choice D.

Explanation:

The subject of this question is Mathematics, and it pertains to the calculation of cumulative discounts on an item. The question is designed to test the student's understanding of how to apply successive percentage discounts to an original price.

Original price of the dishwasher: $450

15% off sale discount: 0.15 × $450 = $67.50

Price after sale discount: $450 - $67.50 = $382.50

Employees receive an additional 20% off the lowest price: 0.20 × $382.50 = $76.50

Price after employee discount: $382.50 - $76.50 = $306

Therefore, the employee will pay $306 for the dishwasher, which corresponds to answer choice D.

Graph a line that contains the point (-5, -6) and has a slope of
aina
5+
+
но са
-7
-6
-5
-4
-3 -2
1
2
3
4
5
6
7

Answers

Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].

Solution:

Slope (m) = [tex]\frac{2}{3}[/tex]

Point [tex](x_1, y_1)=(-5, -6)[/tex]

Point - slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]$y-(-6)=\frac{2}{3}(x-(-5))[/tex]

[tex]$y+6=\frac{2}{3}(x+5)[/tex]

[tex]$y+6=\frac{2}{3}x+\frac{10}{3}[/tex]

Subtract 6 from both sides.

[tex]$y+6-6=\frac{2}{3}x+\frac{10}{3}-6[/tex]

[tex]$y=\frac{2}{3}x+\frac{10-18}{3}[/tex]

[tex]$y=\frac{2}{3}x-\frac{8}{3}[/tex]

Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].

The image of the graph is attached below.

Answer:

Equation of the line is

Step-by-step explanation:

Other Questions
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